Finite Group Databasebeta

#41×#63247 #17979964

order4352
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct product#41×#63247

Splittings

SylowC17 ⋊ M16×#41

Subgroups

subgroupG/H
centerC2×C4C23×#595
commutator, socleC22×C17C24×C4
FrattiniC22C24×#595
Fitting, prime radicalC22×#41×C17C4
cosocleC2×Dic17C25
hypercenterC22×#41#595
hypocenterC17M16×#41
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ C22×#41

2232 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

Conjugacy classes & character table

260 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1115208);